Question

Simplify each rational expression. State any restrictions on the variable.

x-3/x+4 ÷ x^2-1/x

Show your work.

Answer 1

x-3/x+4 ÷ x^2-1/x ; x ≠ -4, 0

Explanation:

x-3/x+4 ÷ x^2-1/x --> x ≠ -4, 0 (because the denominators would be 0 if x = -4 or 0)-->

(x-3)/(x-4) * x/(x^2-1) -->

((x-3)(x))/((x-4)(x-1)(x+1))-->

No way to simplify it further-->

x-3/x+4 ÷ x^2-1/x